updating the xray paper

r15a_xray/tex/results.tex

@@ -1,17 +1,9 @@
 \section{Results and discussions}
 \subsection{Titanium}
-Number of stopped muons in the natural titanium target was:
+Fitting the peak around \SI{932}{keV} in the photon spectrum gives energies of the $2p_{3/2}-1s$ and $2p_{1/2}-1s$ transitions as \SI{932.5 \pm 0.9}{\keV} and \SI{930.4 \pm 1.1}{\keV}, respectively. These values are consistent with previously reported values by Wohlfahrt et al.~\cite{Wohlfahrt1981} given the isotopic abundance of the natural titanium target used in this experiment. The 
+number of $(2p_{3/2}-1s)$ X-rays is:
 \begin{equation}
-  N_{\mu} = (88296 \pm 9) \times 10^3 \,.
-  \label{eqn:Nmu_Ti_Tsc}
-\end{equation}
-
-Fitting the peak around \SI{931}{keV} in the photon spectrum gives the 
-center of gravity at \SI{931.6 \pm 0.7}{keV} (see~\cref{fig:ti_931keV_fit}),
-consistent with previously reported value~\cite{Wohlfahrt1981}.
-Number of $(2p-1s)$ X-rays in the \SI{931.6}{keV} peak is:
-\begin{equation}
-  N_{931.6} = (20750 \pm 764) \,.
+  N_{2p_{3/2}-1s} = (11881 \pm 591) \,.
 \end{equation}
 
 \begin{figure}[tbp]
@@ -21,8 +13,52 @@ Number of $(2p-1s)$ X-rays in the \SI{931.6}{keV} peak is:
   \label{fig:ti_931keV_fit}
 \end{figure}
 
-The emission rate of the $(2p-1s)$ muonic X-rays is calculated as:
-\begin{equation}
-  R_{Ti} = \frac{N_{931.6}}{A_{931.6} \times N_{\mu} \times f_{capTi}} = 0.90
-  \pm 0.04 \,.
-\end{equation}
+
+Emission rates of K X-rays from titanium is listed in~\cref{tab:kXraysTi}.
+
+\begin{table}[tbp]
+  \centering
+  \caption{Emission rates of K X-rays from titanium}
+  \label{tab:kXraysTi}
+  \begin{tabular}{ccc}
+    Transition & Energy [keV] & Rate [\%] \\
+    $2p-1s$ & 932.4 & \num{78.9\pm2.5}\\
+    $3p-1s$ & 1121.5 & \num{7.5\pm1.7}\\
+    $4p-1s$ & 1187.9 & \num{3.2\pm1.0}\\
+    $5p-1s$ & 1218.5 & \num{2.6\pm1.4}\\
+    $6p-1s$ & 1235.2 & \num{3.2\pm1.9}\\
+  \end{tabular}
+\end{table}
+
+\begin{figure}[tbp]
+  \centering
+  \includegraphics[width=0.8\textwidth]{figs/ti-kXrays.pdf}
+  \caption{Muonic X-rays in the Lyman series from titanium}
+  \label{fig:ti_kXrays}
+\end{figure}
+
+\subsection{Aluminum}
+\label{subsec:result_al}
+
+\begin{figure}[tbp]
+  \centering
+  \includegraphics[width=0.8\textwidth]{figs/al-kXrays.pdf}
+  \caption{Muonic X-rays in the Lyman series from aluminum}
+  \label{fig:al_kXrays}
+\end{figure}
+
+Emission rates of K X-rays from aluminum is listed in~\cref{tab:kXraysAl}.
+
+\begin{table}[tbp]
+  \centering
+  \caption{Emission rates of K X-rays from aluminum}
+  \label{tab:kXraysAl}
+  \begin{tabular}{cccc}
+    Transition & Energy [keV] & Intensity (this experiment) [\%] & Intensity [\%]~\cite{Measday2007}\\
+    $2p-1s$ & 346.8 & \num{83.1\pm3.5} & \num{79.8\pm0.8}\\
+    $3p-1s$ & 412.8 & \num{7.71\pm0.29}& \num{7.6\pm1.5}\\
+    $4p-1s$ & 435.9 & \num{4.79\pm0.18}& \num{4.9\pm1.0}\\
+    $5p-1s$ & 446.6 & \num{3.81\pm0.14}& \num{3.9\pm1.0}\\
+    $6p-1s$ & 452.4 & \num{2.24\pm0.13}& \num{2.2\pm1.0}\\
+  \end{tabular}
+\end{table}